{
  "id": "math/9909134",
  "version": "v1",
  "published": "1999-09-22T16:52:54.000Z",
  "updated": "1999-09-22T16:52:54.000Z",
  "title": "Extension dimension and refinable maps",
  "authors": [
    "Alex Chigogidze",
    "Vesko Valov"
  ],
  "comment": "12 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "Extension dimension is characterized in terms of $\\omega$-maps. We apply this result to prove that extension dimension is preserved by refinable maps between metrizable spaces. It is also shown that refinable maps preserve some infinite-dimensional properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-09-22T16:52:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55M10",
      "54C10"
    ],
    "keywords": [
      "extension dimension",
      "refinable maps preserve",
      "infinite-dimensional properties",
      "metrizable spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......9134C"
    }
  }
}